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Byju's Answer
Standard X
Mathematics
Angles in Alternate Segments
The cyclic qu...
Question
The cyclic quadrilateral has its opposite angles as
8
x
+
3
and
12
x
+
17
. Find
x
.
A
7
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B
8
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C
9
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D
10
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Solution
The correct option is
B
8
The sum of opposite angles in Cyclic quadrilateral is
180
8
x
+
3
+
12
x
+
17
=
180
20
x
+
20
=
180
x
+
1
=
9
x
=
8
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The opposite angles of a cyclic quadrilateral are x and 3x. What are the measures of the angles of this quadrilateral?